{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "73bd968b-d970-4a05-94ef-4e7abf990827",
   "metadata": {},
   "source": [
    "Chapter 24\n",
    "\n",
    "# 矩阵运算求解回归参数\n",
    "Book_3《数学要素》 | 鸢尾花书：从加减乘除到机器学习 (第二版)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5faf0da7-7aa8-4720-a597-1b13a847c852",
   "metadata": {},
   "source": [
    "这段代码主要用于分析和可视化鸡和兔的数量之间的关系。首先，通过定义数量数据，代码利用最小二乘法来拟合数据，以得到最佳的线性回归模型。具体步骤如下：\n",
    "\n",
    "1. **数据准备**：代码定义了两个数组，$num\\_chickens$表示鸡的数量，$num\\_rabbits$表示兔的数量。通过散点图可视化这两个变量，目的是观察它们之间的关系。\n",
    "\n",
    "2. **比例函数**：通过计算比例模型的斜率，使用公式：\n",
    "   $$\n",
    "   a = (X^TX)^{-1}X^Ty\n",
    "   $$\n",
    "   其中，$X$是输入特征矩阵，$y$是目标变量。在代码中，$a$代表鸡的数量与兔的数量之间的比例关系。随后，利用这个比例计算出在不同鸡数量下的兔数量预测值。\n",
    "\n",
    "3. **线性回归**：代码使用线性回归模型，表示为：\n",
    "   $$\n",
    "   y = ax + b\n",
    "   $$\n",
    "   这里$a$是斜率，$b$是截距，利用numpy的线性代数运算计算出这些参数，并用于生成拟合直线的预测值。\n",
    "\n",
    "4. **可视化结果**：代码绘制了两幅图，第一幅展示了散点图和比例函数的预测线，第二幅则展示了散点图及线性模型的拟合线。通过这两幅图，能够直观地看到鸡和兔之间的关系及其线性模型的适应性。\n",
    "\n",
    "综上所述，通过最小二乘法和线性回归模型，代码展示了鸡和兔数量之间的线性关系，利用可视化手段，清晰地呈现了数据的分布和拟合效果。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4297f4eb-ac44-4100-ad4f-554d3850bf82",
   "metadata": {},
   "source": [
    "## 导入必要的库"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "2f7f7377-82ca-4688-950d-5536f2db6ca0",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np  # 导入NumPy库，用于数值计算\n",
    "import matplotlib.pyplot as plt  # 导入Matplotlib库，用于绘图"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4e9a22f9-cdce-4351-bccb-553237fb6990",
   "metadata": {},
   "source": [
    "## 定义图形装饰函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d854c3ab-5d6b-4617-a00f-45e3111cd8c2",
   "metadata": {},
   "outputs": [],
   "source": [
    "def fig_decor(ax):  # 自定义函数，用于设置图形的装饰样式\n",
    "    plt.xlabel('$x$ (number of chickens)')  # 设置x轴标签，表示鸡的数量\n",
    "    plt.ylabel('$y$ (number of rabbits)')  # 设置y轴标签，表示兔的数量\n",
    "    plt.axis('scaled')  # 设置坐标轴比例相同\n",
    "    ax.set_xlim([0, 120])  # 设置x轴范围为[0, 120]\n",
    "    ax.set_ylim([0, 80])  # 设置y轴范围为[0, 80]\n",
    "    plt.xticks(np.arange(0, 120 + 1, step=10))  # 设置x轴刻度，每10为一个间隔\n",
    "    plt.yticks(np.arange(0, 80 + 1, step=10))  # 设置y轴刻度，每10为一个间隔\n",
    "    plt.minorticks_on()  # 开启次刻度，用于更精细的刻度显示\n",
    "    ax.grid(which='minor', linestyle=':', linewidth='0.5', color=[0.8, 0.8, 0.8])  # 设置次刻度网格线样式\n",
    "    ax.spines['top'].set_visible(False)  # 隐藏上边框\n",
    "    ax.spines['right'].set_visible(False)  # 隐藏右边框\n",
    "    ax.spines['bottom'].set_visible(False)  # 隐藏下边框\n",
    "    ax.spines['left'].set_visible(False)  # 隐藏左边框\n",
    "    ax.grid(linestyle='--', linewidth=0.25, color=[0.5, 0.5, 0.5])  # 设置主网格线样式"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "18274305-89db-4edd-8ad8-5268f660ecb2",
   "metadata": {},
   "source": [
    "## 定义鸡和兔的数量数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "83f75a94-955c-4c8e-87aa-bb47ee5c3489",
   "metadata": {},
   "outputs": [],
   "source": [
    "num_chickens = np.array([32, 110, 71, 79, 45, 20, 56, 55, 87, 68, 87, 63, 31, 88])  # 鸡的数量数据\n",
    "num_rabbits = np.array([22, 53, 39, 40, 25, 15, 34, 34, 52, 41, 43, 33, 24, 52])  # 兔的数量数据"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "34805554-5953-4714-b1b7-140963d16b5c",
   "metadata": {},
   "source": [
    "## 绘制散点图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "369d5f80-666d-4ae8-a67e-88b0e6ac6cd4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()  # 创建一个新的图形和坐标轴\n",
    "plt.scatter(num_chickens, num_rabbits)  # 绘制鸡和兔数量的散点图\n",
    "fig_decor(ax)  # 调用图形装饰函数设置图形样式"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c1a94d55-228a-49cb-b5f6-724b42fadedd",
   "metadata": {},
   "source": [
    "## 比例函数 y = ax"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "83c73aba-eeae-4c32-a7d5-975a82c7e3d1",
   "metadata": {},
   "outputs": [],
   "source": [
    "x_array = np.linspace(0, 150, 10)[:, None]  # 创建x的取值范围，用于绘制拟合线"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "0aeef569-27e8-43ab-b0c0-f5d2685a2b90",
   "metadata": {},
   "outputs": [],
   "source": [
    "x = num_chickens[:, None]  # 将鸡的数量数据转换为列向量形式"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "a53cdbef-1aac-4e09-afcb-6776bfc6604e",
   "metadata": {},
   "outputs": [],
   "source": [
    "y = num_rabbits[:, None]  # 将兔的数量数据转换为列向量形式"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "c08d3718-a7a9-4ca9-9c2d-94842d708dc3",
   "metadata": {},
   "outputs": [],
   "source": [
    "a_star_only = np.linalg.inv(x.T @ x) @ x.T @ y  # 通过最小二乘法计算比例关系的参数a"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "bd4ffeca-5bdb-4460-a083-ab842ab94bf1",
   "metadata": {},
   "outputs": [],
   "source": [
    "y_pred = a_star_only * x_array  # 根据计算的a值预测y的值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "891d7536-9767-4438-b2cc-af177c76d267",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()  # 创建一个新的图形和坐标轴\n",
    "plt.plot(x_array, y_pred, color='r')  # 绘制比例模型的预测直线\n",
    "plt.scatter(num_chickens, num_rabbits)  # 绘制原始数据的散点图\n",
    "fig_decor(ax)  # 调用图形装饰函数设置图形样式"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4587447c-62dc-44e1-9667-765d6c87535e",
   "metadata": {},
   "source": [
    "## 线性函数 y = ax + b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "ab5c51e7-ac9e-43bb-890a-c8f4cc342e1e",
   "metadata": {},
   "outputs": [],
   "source": [
    "X = np.hstack((np.ones_like(x), x))  # 将鸡的数量数据添加一列全1，用于计算线性模型的截距"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "e96617fa-5a22-4ed3-b701-1bb2b3872ef0",
   "metadata": {},
   "outputs": [],
   "source": [
    "sol = np.linalg.inv(X.T @ X) @ X.T @ y  # 使用最小二乘法计算线性模型的参数a和b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "d5512cf7-9ba7-4174-bc94-8387346f3444",
   "metadata": {},
   "outputs": [],
   "source": [
    "a_star_ = sol[1]  # 提取线性模型的斜率a"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "eedc1e71-1b35-4a3c-bbdf-f9a8f5f11b68",
   "metadata": {},
   "outputs": [],
   "source": [
    "b_star_ = sol[0]  # 提取线性模型的截距b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "bbfcf02c-1e09-499d-b82b-8d69e6c37335",
   "metadata": {},
   "outputs": [],
   "source": [
    "a_star, b_star = np.polyfit(num_chickens, num_rabbits, 1)  # 使用polyfit函数计算斜率和截距"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "b72f25ea-ccdb-4209-853f-cd12bb869f41",
   "metadata": {},
   "outputs": [],
   "source": [
    "y_pred = a_star * x_array + b_star  # 使用线性模型计算预测值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "071063c3-3d11-4832-809a-0510be2478a9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()  # 创建一个新的图形和坐标轴\n",
    "plt.plot(x_array, y_pred, color='r')  # 绘制线性模型的预测直线\n",
    "plt.scatter(num_chickens, num_rabbits)  # 绘制原始数据的散点图\n",
    "fig_decor(ax)  # 调用图形装饰函数设置图形样式"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "85a80909-2aac-49ed-bb7a-f8cc6b80ee7d",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ecd322f4-f919-4be2-adc3-69d28ef25e69",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
